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40142840832 = 210324355777
BaseRepresentation
bin100101011000101100…
…110010010000000000
310211121121211121021200
4211120230302100000
51124203031401312
630235200221200
72620530342243
oct453054622000
9124547747250
1040142840832
111602a650516
12794390a800
133a29845973
141d2b55125a
15109e3000dc
hex958b32400

40142840832 has 66 divisors (see below), whose sum is σ = 115911608358. Its totient is φ = 13380943872.

The previous prime is 40142840821. The next prime is 40142840833. The reversal of 40142840832 is 23804824104.

It can be written as a sum of positive squares in only one way, i.e., 38390916096 + 1751924736 = 195936^2 + 41856^2 .

It is a super-2 number, since 2×401428408322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40142840833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2168673 + ... + 2187104.

Almost surely, 240142840832 is an apocalyptic number.

It is an amenable number.

40142840832 is an abundant number, since it is smaller than the sum of its proper divisors (75768767526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40142840832 is a wasteful number, since it uses less digits than its factorization.

40142840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355803 (or 4355782 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 40142840832 in words is "forty billion, one hundred forty-two million, eight hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 4355777 8711554 13067331 17423108 26134662 34846216 39201993 52269324 69692432 78403986 104538648 139384864 156807972 209077296 278769728 313615944 418154592 557539456 627231888 836309184 1115078912 1254463776 1672618368 2230157824 2508927552 3345236736 4460315648 5017855104 6690473472 10035710208 13380946944 20071420416 40142840832